Just thought I'd come here and spout some drivel since I saw the phrase ''parallel universes''.
Yep, as 'Velocity' stated above, our brains don't physically exert a tangible matter or anything of the sort at all-- the workings of our mind are pretty much mutually exclusive to concepts like reality and higher universes, for while the latter can be a construct, it's also an actual visualised thing. And can quantum physics explain reality? Quantum physics is purely theoretical. We can certainly attach hypotheses to it and calculations and the like can aid in making sense of what 'reality' is and how it works, but a rigid explanation is different, since there are lot of conflicting branches and ideas.
However, I personally (with my quite visibly limited experience in quantum workings themselves, whoops) quantum theory contains many of the most plausible applications for figuring 'reality', 'our present universe' etc. out.
I want to talk about parallel universes and higher dimensions if anyone else is up for that, though.^^